Finding the Third Proportional to 233,887.50 and 362,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   233,887.50 : 362,009.25 = 362,009.25 : x
2. Step 2: Convert to fraction form
   233,887.50/362,009.25 = 362,009.25/x
3. Step 3: Cross multiply
   233,887.50x = 362,009.25 × 362,009.25
4. Step 4: Simplify right side
   233,887.50x = 131,050,697,085.56
5. Step 5: Solve for x
   x = 131,050,697,085.56/233,887.50
6. Step 6: Final answer
   x = 560,315.10